Method of designing and manufacturing magnetic sensor

ABSTRACT

A method of designing a magnetic sensor that can easily accommodate various design conditions is provided. The method has:preparing magnetic sensors, wherein, for each magnetic sensor, magnetization directions of the first to fourth magnetically pinned layers form first to fourth angles θ1 to θ4 relative to a specific reference angle, respectively, and θ1=θ3, θ2=θ4, θ1≠θ2, and each magnetic sensor has a value of θ1-θ2 that is different from values of θ1-θ2 of remaining magnetic sensors,for each magnetic sensor, obtaining a relationship between an angular range of the magnetization direction of the first to fourth magnetically free layers and an output range of the magnetic sensor, wherein the angular range satisfies a specific linear relationship between the magnetization direction and the output of the magnetic sensor, andselecting a magnetic sensor that satisfies required conditions for the angular range and the output range from among the magnetic sensors.

CROSS REFERENCE TO RELATED APPLICATIONS

The present application is a continuation application of U.S. application Ser. No. 17/543,951, filed on Dec. 7, 2021, which is based on, and claims priority from, Japanese Application No. 2021-007324, filed on Jan. 20, 2021, the disclosures of which are hereby incorporated by reference.

BACKGROUND OF THE INVENTION 1. Field of the Invention

The present invention relates to a method of designing and manufacturing a magnetic sensor, particularly to a method of designing and manufacturing a magnetic sensor using a magnetoresistive effect element.

2. Description of the Related Art

A magnetic sensor using a magnetoresistive effect element is known. A magnetoresistive effect element has a magnetically pinned layer whose magnetization direction is pinned relative to an external magnetic field and a magnetically free layer whose magnetization direction rotates relative to the external magnetic field. Such a magnetic sensor may be used to detect the direction in which an external magnetic field is applied. JP2013-88232 and JP2016-206075 disclose a magnetic sensor in which magnetoresistive effect elements are interconnected by a bridge circuit. The output of the magnetic sensor changes in a substantially sinusoidal manner in response to the change of the direction in which an external magnetic field is applied. For this reason, the magnetization direction of the magnetically pinned layer is determined such that the magnetic sensor operates in a relatively linear region of the output.

SUMMARY OF THE INVENTION

A magnetic sensor is typically incorporated into a product or into a part for use. In general, the positions of a magnet that generates an external magnetic field and the magnetic sensor are determined depending on the design of the product or the part. Therefore, the direction of the external magnetic field that is applied to the magnetically free layer of the magnetic sensor varies depending on products. In addition, linearity and output range that are required for a magnetic sensor also vary depending on products. As a result, magnetic sensors need to be designed for each product in accordance with these conditions, and simplification of the design method is desired.

The present invention aims at providing a method of designing a magnetic sensor that can easily accommodate various design conditions.

A method of designing a magnetic sensor relates to a magnetic sensor that comprises:

a pair of a first magnetoresistive effect element and a second magnetoresistive effect element that are connected in series; and

a pair of a third magnetoresistive effect element and a fourth magnetoresistive effect element that are connected in series, wherein

the pair of the first and second magnetoresistive effect elements and the pair of the third and fourth magnetoresistive effect elements are connected in parallel,

the first and fourth magnetoresistive effect elements are connected to a power supply, and

the first to fourth magnetoresistive effect elements have first to fourth magnetically pinned layers whose magnetization directions are pinned and first to fourth magnetically free layers whose magnetization directions rotate in accordance with an external magnetic field, respectively.

The method comprises the steps of:

preparing magnetic sensors, wherein, for each magnetic sensor, magnetization directions of the first to fourth magnetically pinned layers form first to fourth angles θ1 to θ4 relative to a specific reference angle, respectively, and θ1=θ3, 02=θ4, θ1≠θ2, and each magnetic sensor has a value of θ1-θ2 that is different from values of θ1-θ2 of remaining magnetic sensors,

for each magnetic sensor, obtaining a relationship between an angular range of the magnetization direction of the first to fourth magnetically free layers and an output range of the magnetic sensor, wherein the angular range satisfies a specific linear relationship between the magnetization direction and the output of the magnetic sensor, and

selecting a magnetic sensor that satisfies required conditions for the angular range and the output range from among the magnetic sensors.

According to the present invention, it is possible to provide a method of designing a magnetic sensor that can easily accommodate various design conditions.

The above and other objects, features and advantages of the present invention will become apparent from the following description with reference to the accompanying drawings which illustrate examples of the present invention.

BRIEF DESCRIPTION OF THE DRAWINGS

FIGS. 1A and 1B are conceptual views illustrating the operation principle of a magnetic sensor according to a first embodiment;

FIGS. 2A, 2B are conceptual views illustrating the schematic arrangement of the magnetoresistive effect element of the magnetic sensor shown in FIGS. 1A and 1B;

FIG. 3 is a conceptual view illustrating the definition of linearity error;

FIG. 4 is a flow chart illustrating an exemplary method of designing a magnetic sensor;

FIGS. 5A, 5B are views illustrating the properties of a magnetic sensors, wherein the properties are obtained in steps S2 and S3;

FIGS. 6A, 6B are views illustrating the properties of magnetic sensors, wherein the properties are obtained in step S4;

FIGS. 7A, 7B are conceptual views illustrating the schematic arrangement of a magnetic sensor according to a second embodiment; and

FIGS. 8A, 8B are conceptual views illustrating the schematic arrangement of a magnetic sensor according to a modification.

DESCRIPTION OF EMBODIMENTS First Embodiment

Some embodiments of the present invention will now be described with reference to the drawings. In the following description and the drawings, the Z direction corresponds to a direction in which layers of a magnetoresistive effect element are stacked. The magnetization directions of magnetically pinned layer 14 and magnetically free layer 16, as well as the direction of an external magnetic field, are represented by angle θ that is defined counterclockwise with 0 degree corresponding to three o'clock, as shown in FIG. 1A. The angle θ=0 degree may be referred to as “a specific reference angle”.

FIG. 1A, 1B are conceptual view illustrating the operation principle of magnetic sensor 1, wherein FIG. 1A conceptually shows the circuit arrangement of magnetic sensor 1, and FIG. 1B shows the relationship between the magnetization direction of magnetically free layer 16 and the output of magnetic sensor 1. Magnetic sensor 1 has four magnetoresistive effect elements (hereinafter, referred to as first magnetoresistive effect element E1, second magnetoresistive effect element E2, third magnetoresistive effect element E3 and fourth magnetoresistive effect element E4), and these magnetoresistive effect elements E1 to E4 are interconnected by a bridge circuit (a Wheatstone bridge). Four magnetoresistive effect elements E1 to E4 are divided into two pairs, and magnetoresistive effect elements E1, E2 and magnetoresistive effect elements E3, E4 in each pair are connected in series. Further, the pair of magnetoresistive effect elements E1, E2 and the pair of magnetoresistive effect elements E3, E4 are connected in parallel. The pair of magnetoresistive effect elements E1, E2 and the pair of magnetoresistive effect elements E3, E4 are connected to power supply V_(dd) having a constant voltage at one end thereof and are grounded (GND) at the other end. Magnetoresistive effect elements E1, E4 are arranged on the side of power supply V_(dd), and magnetoresistive effect elements E2, E3 are arranged on the side of GND. Both intermediate voltage V1 between first magnetoresistive effect element E1 and second magnetoresistive effect element E2 and intermediate voltage V2 between third magnetoresistive effect element E3 and fourth magnetoresistive effect element E4 are outputted, and differential voltage V1-V2 is outputted as the output of magnetic sensor 1. Intermediate voltages V1, V2 are calculated as follows, where R1 to R4 are the electric resistivities of first to fourth magnetoresistive effect elements E1 to E4, respectively.

$\begin{matrix} {V_{1} = {\frac{R_{2}}{R_{1} + R_{2}}V_{dd}}} & (1) \end{matrix}$ $\begin{matrix} {V_{2} = {\frac{R_{3}}{R_{3} + R_{4}}V_{dd}}} & (2) \end{matrix}$

FIGS. 2A, 2B are conceptual view illustrating the schematic arrangement of first to fourth magnetoresistive effect elements E1 to E4. FIG. 2A shows the layer arrangement of first to fourth magnetoresistive effect elements E1 to E4, and FIG. 2B shows sectional views of magnetically free layer 16, inner magnetically pinned layer 14 and outer magnetically pinned layer 12, as viewed in the Z direction. First to fourth magnetoresistive effect elements E1 to E4 have the identical arrangement. First to fourth magnetoresistive effect elements E1 to E4 have a layer arrangement of a typical spin-valve type. First to fourth magnetoresistive effect elements E1 to E4 are stacks of layers, wherein each stack includes antiferromagnetic layer 11, outer magnetically pinned layer 12, non-magnetic intermediate layer 13, inner magnetically pinned layer 14, spacer layer 15 and magnetically free layer 16, and these layers 11 to 16 are stacked in the Z direction in the order described above. The stack of layers is interposed between a pair of electrode layers (not illustrated) in the Z direction so that a sensing current flows through the stack of layers in the Z direction from the electrode layer.

Magnetically free layer 16 is a magnetic layer whose magnetization direction changes in accordance with an external magnetic field, and may be formed, for example, of NiFe. Outer magnetically pinned layer 12 is a ferromagnetic layer whose magnetization direction is pinned relative to the external magnetic field by the exchange coupling with antiferromagnetic layer 11. Antiferromagnetic layer 11 may be formed of PtMn, IrMn, NiMn, and the like. Inner magnetically pinned layer 14 is a ferromagnetic layer that is interposed between outer magnetically pinned layer 12 and spacer layer 15, and is antiferromagnetically coupled to outer magnetically pinned layer 12 via non-magnetic intermediate layer 13, such as a Ru or Rh film. Accordingly, the magnetization direction of inner magnetically pinned layer 14 and the magnetization direction of outer magnetically pinned layer 12 are pinned relative to the external magnetic field, but the magnetization directions are anti-parallel to each other. Spacer layer 15 is a non-magnetic layer that is positioned between magnetically free layer 16 and inner magnetically pinned layer 14 and that exhibits the magnetoresistive effect. Spacer layer 15 is a non-magnetic conductive layer that is formed of a non-magnetic metal, such as Cu, or a tunnel barrier layer that is formed of a non-magnetic insulator, such as Al₂O₃. When spacer layer 15 is a non-magnetic conductive layer, first to fourth magnetoresistive effect elements E1 to E4 function as giant magnetoresistive effect (GM R) elements, and when spacer layer 15 is a tunnel barrier layer, first to fourth magnetoresistive effect elements E1 to E4 function as tunnel magnetoresistive effect (TMR) elements. First to fourth magnetoresistive effect elements E1 to E4 are preferably TMR elements because of a large MR ratio and a large output from the bridge circuit. Note that inner magnetically pinned layer 14 may be simply referred to as a magnetically pinned layer in the specification.

As shown in FIG. 2B, magnetically free layer 16, inner magnetically pinned layer 14 and outer magnetically pinned layer 12, that is, first magnetoresistive effect element E1, have substantially circular sections, as viewed in the Z direction. The arrows in the drawing conceptually show the magnetization directions of layers 16, 14, 12. The magnetization direction of magnetically free layer 16 rotates in accordance with the direction of the external magnetic field. Any bias magnet that applies a bias magnetic field to magnetically free layer 16 is not provided. As a result, the magnetization direction of magnetically free layer 16 substantially coincides with the direction of an external magnetic field. The direction of the magnetic field that is applied to magnetically free layer 16 varies within a specific angular range between angle θ_(A) and angle θ_(B) that are defined relative to a specific reference angle (θ=0 degree). The specific angular range is called magnetic field detecting angular range θ_(R). Magnetic field detecting angular range θ_(R) defines the magnetically sensitive direction of magnetic sensor 1, and is limited by the product or the part into which magnetic sensor 1 is incorporated. The magnetization direction of magnetically free layer 16 rotates about center value θ_(c) of magnetic field detecting angular range θ_(R) within magnetic field detecting angular range θ_(R) in accordance with the direction of an external magnetic field. The change in the relative angle between the magnetization direction of inner magnetically pinned layer 14 and the magnetization direction of magnetically free layer 16 change the electric resistivity for the sensing current, and thereby the direction of the external magnetic field can be detected.

Referring again to FIG. 1A, the magnetization directions θ1 to θ4 of inner magnetically pinned layers 14 of first to fourth magnetoresistive effect elements E1 to E4 are directed in the direction of the arrows in the drawing. Therefore, when an external magnetic field is applied at angle θ that is smaller than 90 degrees, the electric resistivities of first and third magnetoresistive effect elements E1, E3 become larger than the electric resistivities of second and fourth magnetoresistive effect elements E2, E4. As a result, intermediate voltage V1 becomes smaller than intermediate voltage V2 and differential voltage V1-V2 becomes negative, as shown in FIG. 1B. When an external magnetic field is applied at angle θ that is larger than 90 degrees, intermediate voltage V1 becomes larger than intermediate voltage V2 reversely, and differential voltage V1-V2 becomes positive. The sensitivity is doubled by detecting differential voltage V1-V2 of intermediate voltages V1, V2, as compared to a case where intermediate voltages V1, V2 are detected. In addition, even if there is an offset in intermediate voltages V1, V2, the influence of the offset can be removed by detecting differential voltage V1-V2. Differential voltage V1-V2 defines output range V_(R) of magnetic sensor 1. Output range V_(R) is proportional to the sensitivity of magnetic sensor 1, but a large output range V_(R) is not always desirable. Desirable output range V_(R) depends on the product or the part into which magnetic sensor 1 is incorporated.

It is desired that the output of magnetic sensor 1 be linear as much as possible. Here, linearity error E_(L) is defined as an indicator of linearity. As shown in FIG. 3 , suppose that an actual wave form of the output of magnetic sensor 1 is obtained for a specific angular range of the magnetization direction of magnetically free layer 16. In order to define linearity error E_(L), a linear approximate line of the actual wave form is first obtained. The linear approximate line can be calculated, for example, but not limited to, the least square method. Suppose that dV_(H2) is the maximum value of the output within the above specific angular range, and dV_(H1) is the minimum value of the output within the above specific angular range. The difference between the actual wave form and the linear approximate line is calculated at each angle θ in the above specific angular range. Then, linearity error E_(L) is calculated as follows, where ΔV_(max) is the maximum difference.

$\begin{matrix} \frac{\Delta V_{\max}}{{dV}_{H2} - {dV}_{H1}} & (3) \end{matrix}$

Linearity error E_(L) depends on the product or the part into which magnetic sensor 1 is incorporated, but linearity error E_(L) is typically between 5 and 10%. Thus, E_(L) is set to be 5% in the present embodiment. Linearity error E_(L) is not limited to formula (3), and any other indicator that indicates the linearity may be used. The angular range in which E_(L) is equal to a predetermined value (here, E_(L)=5%) is referred to as linearity range θ_(L). Linearity range θ_(L) is an angular range of the magnetization direction of first to fourth magnetically free layers 16A to 16D (the angular range of an external magnetic field) that satisfies a specific linear relationship (here E_(L)=5%) between the angular range of the magnetization direction and the output of magnetic sensor 1. The condition that is required for linearity range θ_(L) is different depending on the product or the part into which magnetic sensor 1 is incorporated. For the product or the part into which magnetic sensor 1 is incorporated, linearity range θ_(L) means an angular range of the magnetization direction of first to fourth magnetically free layers 16A to 16D, in which the relationship between the magnetization direction and the output can be regarded as substantially linear. For example, in the case of an autofocus mechanism of a camera, a magnet that generates an external magnetic field and magnetic sensor 1 that detects the external magnetic field move relative to each other in the direction of the optical axis of the lens, but the range of the relative movement is limited by the autofocus mechanism. Therefore, the direction of an external magnetic field that is applied to magnetically free layer 16 of magnetic sensor 1 is limited to a predetermined angular range, and magnetic sensor 1 is not required to have linearity range θ_(L) that exceeds the predetermined angular range.

A method of designing magnetic sensor 1 described above will now be described. As described above, output range V_(R) and linearity range θ_(L) are both important as the design conditions of magnetic sensor 1, and the present embodiment provides a design method that takes into consideration output range V_(R) and linearity range θ_(L). FIG. 4 shows a schematic flow of the present method. A plurality of magnetic sensors 1 are manufactured or prepared first (Step 1). Magnetic sensors 1 may be actually manufactured or may be provided by a simulation. In magnetic sensors 1, the magnetization directions of first to fourth magnetically pinned layers 14A to 14D form first to fourth angles θ1 to θ4 relative to the specific reference angle (θ=0 degree), respectively, and the relationships: θ1=θ3, θ2=θ4, θ1≠θ2 (therefore, θ3≠θ4) are satisfied. However, each magnetic sensor 1 has a value of θ1-θ2 that is different from the values of θ1-θ2 of the remaining magnetic sensors 1. Here, six magnetic sensors 1 are manufactured, in which θ1=θ3=180 degrees for all of the six magnetic sensors 1, while θ2 and θ4 are equal to 0 degree, 30 degrees, 60 degrees, 90 degrees, 120 degrees and 150 degrees for respective magnetic sensors 1.

Next, the relationship between the magnetization direction of magnetically free layers 16 and output range V_(R) is obtained for each magnetic sensor 1 (Step 2). FIG. 5A shows the results of obtaining the relationship between the magnetization direction of magnetically free layer 16 and the output of magnetic sensor 1 (differential voltage V1-V2) for the six magnetic sensors 1. The maximum output is obtained when θ2=θ4=0 degree or 30 degrees. As θ2 and θ4 increase, the output decreases and the gradient of the linear part of the graph decreases.

Next, the relationship between the angular range of the magnetization direction of first to fourth magnetically free layers 16 (linearity range θ_(L)) and the output range V_(R) of magnetic sensor 1 is obtained for each magnetic sensor 1, wherein, the angular range satisfies the specific linear relationship (here E_(L)=5%) between the magnetization direction of first to fourth magnetically free layers 16 and the output of magnetic sensor 1 (Step 3). FIG. 5B shows an example of the results. The vertical axis shows standardized output range V_(R). Furthermore, approximate curve F of output range V_(R) may be obtained from the plotted points. Approximate curve F may be calculated, for example, by the least square method. As will be understood from the figure, there is a negative correlation between linearity range θ_(L) and output range V_(R). When large output range V_(R) is desired even if linearity range θ_(L) is small, small θ2 and θ4 can be selected, and when linearity range θ_(L) is more important than output range V_(R), large θ2 and θ4 can be selected.

Next, magnetic sensor 1 that satisfies the required conditions for linearity range θ_(L) and output range V_(R) is selected from among a plurality of magnetic sensors 1 (Steps S5, S6). The selection may be made by an operator while referring to FIG. 5B or may be made by a computer. When the required conditions for linearity range θ_(L) and output range V_(R) are given as numerical ranges, respectively, the required conditions may be defined as a specific rectangular region R in FIG. 5B. In the example illustrated, magnetic sensor 1 with θ2=θ4=90 degrees will be selected. Intersection C between the approximate curve and horizontal line L1 that halves region R in the direction of the vertical axis or between the approximate curve and vertical line L2 that halves region R in the direction of the horizontal axis may be selected as optimal values of θ2 and θ4. When the selection is made by a computer, the following steps are taken: the relationship between the magnetization direction of magnetically free layers 16 and output range V_(R) (FIG. 5A) is inputted for a plurality of magnetic sensors 1, the required conditions for linearity range θ_(L) and output range V_(R) are inputted, and the values of θ2 and θ4 or the ranges of θ2 and θ4 that satisfy the required conditions are calculated by the CPU.

It is desired that magnetic sensor 1 be used in a region having good linearity of the output. However, as described above, an external magnetic field is applied within specific magnetic field detecting angular range θ_(R). For example, when magnetic field detecting angular range θ_(R) is an angular range between 120 and 240 degrees with the center value of 180 degrees, as shown by region A in FIG. 5A, a region having bad linearity may be used depending on magnetic sensor 1, and the precision of measurement deteriorates. In this case, if the output at θ=180 degrees corresponds to the center value (V1=V2) of output range V_(R), as shown by region A in FIG. 6A, then the region having good linearity will be able to be used most effectively. For this reason, the graph of FIG. 5A is preferably modified before magnetic sensor 1 is selected. Specifically, the relationship among first to fourth angles θ1 to θ4 is fixed, and first to fourth angles θ1 to θ4 are modified such that the relationship (θ1+θ2)/2=θ_(c) is satisfied (Step S4). Fixing the relationship among first to fourth angles θ1 to θ4 means that the difference between θ1 and θ2, the difference between θ1 and θ3 and the difference between θ1 and θ4 are all unchanged (constant). In the example shown in FIG. 5A, θ_(c) is equal to 180 degrees. FIG. 6A shows the relationship between the magnetization direction of magnetically free layers 16 and the output of magnetic sensors 1 that is obtained by this process, and FIG. 6B shows the relationship between linearity range θ_(L) and output range V_(R). Each curve in FIG. 6A is obtained by the translation of the corresponding curve in FIG. 5A, and each curve in FIG. 6A has the same shape as the corresponding curve in FIG. 5A. Therefore, the graph of FIG. 6B coincides with the graph of FIG. 5B. The selection of magnetic sensor 1 may be made based on either the graph of FIG. 5B or the graph of FIG. 6B. However, by selecting magnetic sensor 1 based on the graph of FIG. 6B, optimal values of first to fourth angle θ1 to θ4 can be obtained at one time.

Step S4 has the same effect as rotating magnetic sensor 1 as a whole. However, it may be difficult to rotate and arrange magnetic sensor 1 in some cases. The magnetization direction of magnetically pinned layer 14 can be easily adjusted by changing the magnetizing direction, and thus, the present embodiment can provide a versatile method of designing magnetic sensor 1. In addition, magnetically pinned layer 14 having a circular section does not have directivity and can be magnetized in the same manner in any direction. Similarly, magnetically free layer 16 having a circular section does not have directivity (the shape anisotropy), and the magnetization direction rotates in the same manner regardless of the direction in which an external magnetic field is applied. In other words, since the magnetoresistive effect element does not have inherent directivity that is caused by the shape, the magnetization direction of magnetically pinned layer 14 can be widely modified depending on use. For the reasons above, the present embodiment has strong affinity with circular magnetoresistive effect elements.

A method of manufacturing magnetic sensor 1 that is designed using the aforementioned method will now be briefly described. The method of manufacturing magnetic sensor 1 includes the step of forming first to fourth magnetoresistive effect elements E1 to E4. In this step, first to fourth initial magnetoresistive effect elements that are later to be first to fourth magnetoresistive effect elements E1 to E4 are formed first. The first to fourth initial magnetoresistive effect elements include first to fourth initial magnetically pinned layers that are later to be inner magnetically pinned layers 14, respectively.

Next, laser beam and an external magnetic field in a predetermined direction are used to pin the magnetization directions of the first to fourth initial magnetically pinned layers in the predetermined directions. For example, first and third initial magnetoresistive effect elements that are later to be first and third magnetoresistive effect elements E1, E3 are irradiated with laser beam while applying an external magnetic field in first magnetization direction θ1, θ3. When the irradiation with the laser beam is completed, the magnetization directions of the first and third initial magnetically pinned layers are pinned in first magnetization direction θ1, θ3. Thus, first and third initial magnetically pinned layers are formed into the first and third magnetically pinned layers, and the first and third initial magnetoresistive effect elements are formed into first and third magnetoresistive effect elements E1, E3. In addition, in case of the second and fourth initial magnetoresistive effect elements that are later to be second and fourth magnetoresistive effect elements E2, E4, by directing the external magnetic field in the magnetization direction θ2, θ4, the magnetization directions of the initial magnetically pinned layers of the second and fourth initial magnetoresistive effect elements can be pinned in the second magnetization direction θ2, θ4. In this manner, first to fourth magnetoresistive effect elements E1 to E4 are formed.

The method of pining the magnetization directions of the magnetically pinned layers (the initial magnetically pinned layers) using laser beam may also be so called laser annealing.

Second Embodiment

The present embodiment is the same as the first embodiment except that the magnetoresistive effect elements are interconnected by a half bridge, instead of a Wheatstone bridge. Magnetic sensor 1 has first magnetoresistive effect element E1 and second magnetoresistive effect element E2 that are connected in a row. First magnetoresistive effect element E1 has first magnetically pinned layer 14A whose magnetization direction is pinned and first magnetically free layer 16A whose magnetization direction rotates in accordance with an external magnetic field. Second magnetoresistive effect element E2 has second magnetically pinned layer 14B whose magnetization direction is pinned and has second magnetically free layer 16B whose magnetization direction rotates in accordance with the external magnetic field.

In the present embodiment, the design of magnetic sensor 1 can be performed in the same manner as in the first embodiment in accordance with the steps shown in FIG. 4 . Specifically, a plurality of magnetic sensors 1 is manufactured, in which the magnetization direction of first magnetically pinned layer 16A forms first angle θ1 relative to the specific reference angle (here θ=0 degree) and in which the magnetization direction of the second magnetically pinned layer 16B forms second angle θ2 relative to the specific reference angle. Each magnetic sensor 1 has a value of θ1-θ2 that is different from the values of θ1-θ2 of the remaining magnetic sensors 1 (Step 1). Magnetic sensors 1 may be actually manufactured or may be provided by a simulation. Next, the relationship between the magnetization direction of magnetically free layers 16 and output range V_(R) is obtained for each magnetic sensor 1 (Step 2). Next, the relationship between the angular range of the magnetization direction of first and second magnetically free layers 16 (linearity range θ_(L)) and the output range V_(R) of magnetic sensor 1 is obtained for each magnetic sensor 1, wherein, the angular range satisfies the specific linear relationship between the magnetization directions of first and second magnetically free layers 16 and the output of magnetic sensor 1 (Step 3). Next, magnetic sensor 1 that satisfies the required conditions for linearity range θ_(L) and output range V_(R) is selected from among a plurality of magnetic sensors 1 (Steps S5, S6). Before magnetic sensor 1 is selected, first angle θ1 and second angle θ2 may be modified such that the relationship (θ1+θ2)/2=θ_(c) is satisfied with (θ1-θ2) being fixed (Step S4). Magnetic sensor 1 that is designed using the method of the present embodiment may be manufactured by the method that is described in the first embodiment.

The present invention has been described by the embodiments, but the present invention is not limited to these embodiments, and various modifications can be made. For example, as shown in FIG. 8A, magnetic sensor 1 may have bias magnets 18 that apply a bias magnetic field to magnetically free layer 16. In the drawing, the black arrow shows the direction in which an external magnetic field is applied, and the white arrow shows the direction in which the bias magnetic field is applied. The direction of the external magnetic field is fixed, and only the intensity of external magnetic field changes. A pair of bias magnets 18 is provided. Bias magnets 18 are provided on both sides of each magnetoresistive effect element E1 to E4, and a bias magnetic field is applied in a direction perpendicular to the magnetization direction of magnetically pinned layer 14. A combined magnetic field, which is the combination of the bias magnetic field and the external magnetic field, is applied to magnetically free layer 16. Since the electric resistivities of magnetoresistive effect elements E1 to E4 change in accordance with the direction of the combined magnetic field, the intensity of the external magnetic field can be obtained from the output of magnetic sensor 1. Alternatively, as shown in FIG. 8B, magnetoresistive effect elements E1 to E4 may be formed in a shape that is elongate in one direction. The magnetization direction of magnetically free layer 16 is directed in the elongate direction due to shape anisotropy when no magnetic field is applied, and the same effect can be achieved.

In addition, magnetic sensor 1 operates at a constant voltage in the present embodiment, but may operate at a constant current. In the operation of a constant current, the sum of the current that is supplied to first magnetoresistive effect element E1 and fourth magnetoresistive effect element E4 (in the first embodiment) or the current that is supplied to first magnetoresistive effect element E1 (in the second embodiment) is maintained at a constant value. Although not described in detail, the same properties as shown in FIGS. 5 and 6 are obtained in this case, and the design of magnetic sensor 1 can be performed in accordance with the above-mentioned method.

Although certain preferred embodiments of the present invention have been shown and described in detail, it should be understood that various changes and modifications may be made without departing from the spirit or scope of the appended claims.

LIST OF REFERENCE NUMERALS

-   -   1 magnetic sensor     -   14A to 14D first to fourth magnetically pinned layers     -   16A to 16D first to fourth magnetically free layers     -   E1 to E4 first to fourth magnetoresistive effect elements 

What is claimed is:
 1. A method of designing a magnetic sensor, wherein the magnetic sensor comprises a plurality of magnetoresistive effect elements each having a magnetically pinned layer whose magnetization direction is pinned and a magnetically free layer whose magnetization direction rotates in accordance with an external magnetic field, the method comprising the steps of: preparing a plurality of magnetic sensors, the magnetic sensors having different combinations of magnetization directions of the magnetically pinned layers, for each magnetic sensor, obtaining a relationship between an angular range of the magnetization direction of the magnetically free layers and an output of the magnetic sensor, wherein the angular range satisfies a specific linear relationship between the magnetization direction of the magnetically free layers and the output of the magnetic sensor, and selecting a magnetic sensor that satisfies required conditions for the angular range and the output from among the magnetic sensors.
 2. The method of designing a magnetic sensor according to claim 1, wherein the plurality of magnetoresistive effect elements include: a pair of a first magnetoresistive effect element and a second magnetoresistive effect element that are connected in series; and a pair of a third magnetoresistive effect element and a fourth magnetoresistive effect element that are connected in series, wherein the pair of the first and second magnetoresistive effect elements and the pair of the third and fourth magnetoresistive effect elements are connected in parallel, the first and fourth magnetoresistive effect elements are connected to a power supply.
 3. The method of designing a magnetic sensor according to claim 1, wherein the plurality of magnetoresistive effect elements include a first magnetoresistive effect element and a second magnetoresistive effect element that are connected in series.
 4. The method of designing a magnetic sensor according to claim 1, wherein the magnetically pinned layers and the magnetically free layers of the plurality of magnetoresistive effect elements have circular sections.
 5. A magnetic sensor comprising: a pair of a first magnetoresistive effect element and a second magnetoresistive effect element that are connected in series; and a pair of a third magnetoresistive effect element and a fourth magnetoresistive effect element that are connected in series, wherein the pair of the first and second magnetoresistive effect elements and the pair of the third and fourth magnetoresistive effect elements are connected in parallel, the first and fourth magnetoresistive effect elements are connected to a power supply, and the first to fourth magnetoresistive effect elements have first to fourth magnetically pinned layers whose magnetization directions are pinned and first to fourth magnetically free layers whose magnetization directions rotate in accordance with an external magnetic field, respectively, wherein the magnetization directions of the first to fourth magnetically pinned layers form first to fourth angles θ1 to θ4 relative to a specific reference angle, respectively, and θ1=θ3, θ2=θ4, θ1≠θ2, the magnetic sensor has a linearity range θ_(L) of the magnetization direction of the magnetically free layers in which linearity error of the output of the magnetic sensor is 5% or less, wherein, the linearity error is defined as ΔV_(max)/(dV_(H2)−dV_(H1)), where dV_(H2) is a maximum value and dV_(H1) is a minimum value in an actual wave form of the output of the magnetic sensor and ΔV_(max) is a maximum difference between the actual wave form and a linear approximate line of the actual wave form, and a following relationship is satisfied between V_(R) and θ_(L), where V_(R) is a standardized value of the output of the magnetic sensor having a maximum value of 1, V_(R) is 0.95 or more and V_(R) monotonously decreases relative to θ_(L) in a range of 120 degrees<=θ_(L)<=180 degrees.
 6. The magnetic sensor according to claim 5, wherein a following relationship is satisfied between V_(R) and θ_(L) V_(R) is 0.65 or more and 0.9 or less and V_(R) monotonously decreases relative to θ_(L) in a range of 180 degrees<=θ_(L)<=210 degrees.
 7. The magnetic sensor according to claim 6, wherein a following relationship is satisfied between V_(R) and θ_(L) V_(R) is 0.3 or more and 0.65 or less and V_(R) monotonously decreases relative to θ_(L) in a range of 210 degrees<=θ_(L)<=225 degrees.
 8. The magnetic sensor according to claim 5, wherein a difference between θ1 and θ2 is less than 180 degrees.
 9. The magnetic sensor according to claim 5, wherein the linear approximate line is calculated by a least square method.
 10. The magnetic sensor according to claim 5, wherein the first to fourth magnetically pinned layers and the first to fourth magnetically free layers have circular sections.
 11. A method of manufacturing a magnetic sensor, wherein the magnetic sensor comprises a plurality of magnetoresistive effect elements each having a magnetically pinned layer whose magnetization direction is pinned and a magnetically free layer whose magnetization direction rotates in accordance with an external magnetic field, and the sensor has an angular range that satisfies a specific linear relationship between the magnetization direction of the magnetically free layers and the output of the magnetic sensor, the method comprising magnetizing the magnetically pinned layers of the magnetoresistive effect elements in predetermined directions such that required conditions for the angular range and the output are satisfied.
 12. The method of manufacturing a magnetic sensor according to claim 11, wherein the plurality of magnetoresistive effect elements include: a pair of a first magnetoresistive effect element and a second magnetoresistive effect element that are connected in series; and a pair of a third magnetoresistive effect element and a fourth magnetoresistive effect element that are connected in series, wherein the pair of the first and second magnetoresistive effect elements and the pair of the third and fourth magnetoresistive effect elements are connected in parallel, the first and fourth magnetoresistive effect elements are connected to a power supply, and the first to fourth magnetoresistive effect elements have first to fourth magnetically pinned layers whose magnetization directions are pinned and first to fourth magnetically free layers whose magnetization directions rotate in accordance with an external magnetic field, respectively, wherein the magnetization directions of the first to fourth magnetically pinned layers form first to fourth angles θ1 to θ4 relative to a specific reference angle, respectively, and θ1=θ3, θ2=θ4, θ1≠θ2, the magnetic sensor has a linearity range θ_(L) of the magnetization direction of the magnetically free layers in which linearity error of the output of the magnetic sensor is 5% or less, wherein, the linearity error is defined as ΔVmax/(dV_(H2)−dV_(H1)), where dV_(H2) is a maximum value and dV_(H1) is a minimum value in an actual wave form of the output of the magnetic sensor and ΔVmax is a maximum difference between the actual wave form and a linear approximate line of the actual wave form, and a following relationship is satisfied between V_(R) and θ_(L), where V_(R) is a standardized value of the output of the magnetic sensor having a maximum value of 1, V_(R) is 0.95 or more and V_(R) monotonously decreases relative to θ_(L) in a range of 120 degrees<=θ_(L)<=180 degrees, and wherein magnetizing the magnetically pinned layers of the magnetoresistive effect elements in the predetermined directions includes magnetizing the first to fourth magnetically pinned layers such that the magnetization directions of the first to fourth magnetically pinned layers form the first to fourth angles θ1 to θ4, respectively.
 13. The method of manufacturing a magnetic sensor according to claim 12, wherein a following relationship is satisfied between V_(R) and θ_(L) V_(R) is 0.65 or more and 0.9 or less and V_(R) monotonously decreases relative to θ_(L) in a range of 180 degrees<=θ_(L)<=210 degrees.
 14. The method of manufacturing a magnetic sensor according to claim 13, wherein a following relationship is satisfied between V_(R) and θ_(L) V_(R) is 0.3 or more and 0.65 or less and V_(R) monotonously decreases relative to θ_(L) in a range of 210 degrees<=θ_(L)<=225 degrees.
 15. The method of manufacturing a magnetic sensor according to claim 12, wherein a difference between θ1 and θ2 is less than 180 degrees.
 16. The method of manufacturing a magnetic sensor according to claim 12, wherein the linear approximate line is calculated by a least square method.
 17. The method of manufacturing a magnetic sensor according to claim 11, wherein the magnetically pinned layers and the magnetically free layers of the plurality of magnetoresistive effect elements have circular sections. 